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Cohomology Operations and Applications in Homotopy Theory

the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific;

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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

, and Poincare duality. Because these applications have required repeated modifications of the original formulation of etale homotopy theory;

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Algebraic Homotopy

connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book;

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Cambridge Studies in Advanced Mathematics

connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book;

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Representation Theory and Beyond

algebras, and the higher Auslander-Reiten theory studied via homotopy theory.;

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Homotopy Theory

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday;

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Basic Algebraic Topology

homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial complexes. It then focuses on the fundamental group;

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K-Theory

assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book;

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London Mathematical Society Lecture Note Series

was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology;

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Formal Geometry and Bordism Operations

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed;

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Commutator Calculus and Groups of Homotopy Classes

group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations;

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Differential Forms in Algebraic Topology

of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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An Alpine Bouquet of Algebraic Topology

spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild;

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Manifolds Tensorsnd Forms

cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and;

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Topology and Geometry

, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: An interesting and original;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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An Invitation to Computational Homotopy

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and;

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An Invitation to Computational Homotopy

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and;

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Elements of Homology Theory

applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later;

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Lectures on Field Theory and Topology

, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free;

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Local Cohomology and Its Applications

lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties;

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Stable Homotopy and Generalised Homology

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well;

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New Directions in Homotopy Theory

University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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